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Volgvan
3 years ago
12

Solve the system of equations using elimination

Mathematics
1 answer:
liq [111]3 years ago
7 0

Step-by-step explanation:

2x + y = 5 \\  - x + y = 2

y = 2 + x

2x + x + 2 = 5 \\ 3x + 2 = 5 \\ 3x = 3 \\ x = 1  \\ y = 2 + x \\ y = 3

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Jayanta is raising money for the? homeless, and discovers each church group requires 2 hr of letter writing and 1 hr of? follow-
boyakko [2]

Answer:

Jayanta needs 2 labor union groups and 8 church groups.

Step-by-step explanation:

Let c denotes churches .

Let l denotes labor unions.

We know that Jayanta can only spend 20 hours letter writing and 14 hour of follow-up.

So, equations becomes:

2c+2l=20

c+3l=14

And total money raised can be shown by = 150c+175l

We have to maximize 150c+175l keeping in mind that 2c+2l \leq 20 and c+3l \leq 14

We will solve the two equations:  2c+2l=20 and c+3l=14

We get l = 2 and c = 8

And total money raised is 150\times8 + 175\times2 = 1200+350=1550 dollars.

Hence, Jayanta needs 2 labor union groups and 8 church groups.

8 0
3 years ago
Please help ASAP!!!!!!!
VLD [36.1K]

Answer:

10th term is 10

Step-by-step explanation:

The nth term for finding the geometric progression is expressed as;

Tn = ar^n-1

a is the first term

r is the common ratio

n is the number of terms

a11 = ar^11-1

a11 = ar^10

Since a11 = -5 and r = -1/2

-5 = a(-1/2)^10

-5 = a(1/1024)

a= 1024 * -5

a = -5120

Nest is to get the 10th terms

a10 = ar^9

a10 = -5120 * (-1/2)^9

a10 = -5120 * -1/512

a10 = 10

Hence the 10th term of the sequence is 10

3 0
3 years ago
Tomas needs to cut a piece of wood for a model airplane he is building. He has four pieces of wood: 5 feet, 4 feet, 6 feet, and
blagie [28]

Answer:

Step-by-step explanation:

Alright, lets get started.

Tomas has four pieces of wood having each length = 5, 4, 6 and 3

The length of wood he needs to cut to make a model airplane = \sqrt{11}

Simplifying, it is 3.32 feet long

Means he needs more than 3 feet but less than 4 feet of wood piece.

So, he should select 4 feet length of wood because selcting 3 feet will not fulfilled to make his model and selcting 5 and 6 feet will have more unused wood.

4 feet piece of wood he should cut to have the least amount of unused wood.   :  Answer

Hope it will help :)




4 0
4 years ago
Which answer choice correctly completes the sentence? The bridge was closed, but that hasn't __________ us any time. A. costed B
Rainbow [258]
The bridge was closed, but that hasn't <span>cost </span>us any time
7 0
4 years ago
Which is the most reasonable estimate for the sum 61.92+174.8
Anna11 [10]
62+175=237
check:
61.92+174.8=236.72
pretty close so 237 is your estimation
5 0
3 years ago
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